165945348 has 60 divisors (see below), whose sum is σ = 435832320. Its totient is φ = 55057968.

The previous prime is 165945343. The next prime is 165945349. The reversal of 165945348 is 843549561.

165945348 is a `hidden beast` number, since 1 + 6 + 594 + 53 + 4 + 8 = 666.

It is a super-2 number, since 2×165945348² = 55075717045682208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165945343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76365 + ... + 78507.

It is an arithmetic number, because the mean of its divisors is an integer number (7263872).

Almost surely, 2^165945348 is an apocalyptic number.

165945348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165945348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217916160).

165945348 is an abundant number, since it is smaller than the sum of its proper divisors (269886972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165945348 is a wasteful number, since it uses less digits than its factorization.

165945348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2387 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 165945348 is about 12881.9776432037. The cubic root of 165945348 is about 549.5261461372.

The spelling of 165945348 in words is "one hundred sixty-five million, nine hundred forty-five thousand, three hundred forty-eight".